Search a number
-
+
12301146036 = 2232893839309
BaseRepresentation
bin10110111010011010…
…01001011110110100
31011202021202222001100
423131031021132310
5200143043133121
65352344130100
7613556005344
oct133515113664
934667688040
1012301146036
1152427490a3
122473766930
13121067414a
14849a0cd24
154bee09026
hex2dd3497b4

12301146036 has 36 divisors (see below), whose sum is σ = 31443948900. Its totient is φ = 4054309248.

The previous prime is 12301146007. The next prime is 12301146037. The reversal of 12301146036 is 63064110321.

12301146036 is a `hidden beast` number, since 12 + 30 + 1 + 14 + 603 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3845240100 + 8455905936 = 62010^2 + 91956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301146037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1916451 + ... + 1922858.

It is an arithmetic number, because the mean of its divisors is an integer number (873443025).

Almost surely, 212301146036 is an apocalyptic number.

It is an amenable number.

12301146036 is an abundant number, since it is smaller than the sum of its proper divisors (19142802864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12301146036 is a wasteful number, since it uses less digits than its factorization.

12301146036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839408 (or 3839403 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12301146036 its reverse (63064110321), we get a palindrome (75365256357).

The spelling of 12301146036 in words is "twelve billion, three hundred one million, one hundred forty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 3839309 7678618 11517927 15357236 23035854 34553781 46071708 69107562 138215124 341698501 683397002 1025095503 1366794004 2050191006 3075286509 4100382012 6150573018 12301146036